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What numbers have 2 as their prime factorization?
All even numbers are multiples of 2, so they have 2 in their prime factorization. No odd numbers are divisible by 2, so no add number has 2 in its prime factorization.
What is the prime factorization of all even numbers?
Because the Fundamental Theorem of Arithmetic specifies that every integer greater than 1 has its own unique prime factorization, it is impossible to specify what each of these prime factorizations is, however, it is true that the prime factorization of every even number includes the number 2 as the lowest prime factor.
How can you use the prime factorization of a number to determine whether the number is even or odd?
If the factorization includes the number 2, it's even. If not, it's odd.
Why are all the prime numbers are odd numbers?
All prime numbers are not odd numbers. 2 is an even prime number, and it is the only even prime number because all other even numbers have 2 as one of their factors.
Can a even number be a prime number even though all the prime numbers are odd?
Two is even and it's a prime number. All other even numbers can never be prime though because they will always be divisible by 2. So in fact, not all prime numbers are odd, but 2 is the only even prime number.
